Arrangements of hyperplanes and Lie algebra homology
The authors investigate the cohomology of one-dimensional local systems over complements of hyperplanes in complex affine subspaces. The main results of the paper consist of the study of ``discriminantal'' arrangements. The cohomology of certain local systems over them is closely connected with homology of nilpotent subalgebras of Kac-Moody type Lie bialgebras. Under certain conditions, the complete set of solutions of the Knizhnik-Zamolodchikov differential equations in terms of generalized hypergeometric integrals are given.
Knizhnik-Zamolodchikov differential equations
scientific article; zbMATH DE number 59798
scientific article